Which of the following statement is not correct ? A) In ΔABC, ∠A +

1.	Which of the following statement is not correct ? A) In ΔABC, ∠A + ∠B + ∠C = 180° B) In ΔABC, if AB > BC, then C > A C) In a right angled triangle, the hypotenuse is the smallest sideD) In ΔABC, if AB = BC, then ∠C = ∠A
Answer» Correct option is (C) In a right angled triangle, the hypotenuse is the smallest side In any triangle, sum of all three angles is \(180^\circ.\) \(\therefore\) In \(\triangle ABC,\) \(\angle A+\angle B+\angle C\) \(=180^\circ\) In a triangle angle opposite to longer side is greater. \(\therefore\) In \(\triangle ABC,\) if AB > BC, then \(\angle C>\angle A\) (Also include angle sign in option (B)) In a right angled triangle, the hypotenuse is the longest side. In a triangle, angles opposite to equal sides are equal. \(\therefore\) In \(\triangle ABC,\) if AB = BC, then \(\angle C=\angle A\) C) In a right angled triangle, the hypotenuse is the smallest side

Which of the following statement is not correct ? A) In ΔABC, ∠A + ∠B + ∠C = 180° B) In ΔABC, if AB > BC, then C > A C) In a right angled triangle, the hypotenuse is the smallest sideD) In ΔABC, if AB = BC, then ∠C = ∠A

Answer»

Correct option is (C) In a right angled triangle, the hypotenuse is the smallest side

In any triangle, sum of all three angles is \(180^\circ.\)

\(\therefore\) In \(\triangle ABC,\) \(\angle A+\angle B+\angle C\) \(=180^\circ\)

In a triangle angle opposite to longer side is greater.

\(\therefore\) In \(\triangle ABC,\) if AB > BC, then \(\angle C>\angle A\)

(Also include angle sign in option (B))

In a right angled triangle, the hypotenuse is the longest side.

In a triangle, angles opposite to equal sides are equal.

\(\therefore\) In \(\triangle ABC,\) if AB = BC, then \(\angle C=\angle A\)

C) In a right angled triangle, the hypotenuse is the smallest side